Answer:
[tex]x = 1 +/- \frac{i\sqrt{10} }{2}[/tex]
Step-by-step explanation:
The equation given is:
[tex]2x^2 = 4x - 7\\\\2x^2 - 4x + 7 = 0[/tex]
Using quadratic formula:
[tex]x = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a}[/tex]
From the question:
a = 2, b = -4, c = 7
Therefore:
[tex]x = \frac{4 +/- \sqrt{(-4)^2 - 4 * 2 * 7} }{2 * 2}\\\\x = \frac{4 +/- \sqrt{(16 - 56)} }{4}\\\\x = \frac{4 +/- \sqrt{-40} }{4}\\[/tex]
=> [tex]x = 1 +/- \frac{i\sqrt{10} }{2}[/tex]
The solution of given quadratic equation is given as [tex]x = 1 \pm i\dfrac{\sqrt{10}}{2}[/tex]
Given the quadratic equation:
[tex]2x^2 = 4x -7[/tex]
Formula for finding roots of quadratic equation [tex]ax^2 + bx + c = 0[/tex] is given by:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} \\[/tex]
Here, we get a = 2, b = -4, and c = 7.
Thus, the roots can be found as:
[tex]x = \dfrac{4 \pm \sqrt{16 - 56}}{4} \\\\x = \dfrac{4 \pm \sqrt{-40}}{4} \\\\x = \dfrac{4 \pm 2i\sqrt{10}}{4} \\\\\\x = 1 \pm i\dfrac{\sqrt{10}}{2}[/tex]
Thus, the solution of the given quadratic equation is given as [tex]x = 1 \pm i\dfrac{\sqrt{10}}{2}[/tex].
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1
A recipe calls for
cup of milk. If you make 3
times the recipe, how much milk do you need?
2
O
cups
cups
1
2 1 / 2
cups
hose
cups
Answer:
I don't really understand your question, but I still think I can explain.
Step-by-step explanation:
The original recipe is doing the recipe once. If you want to make the recipe three times bigger, you have to do all of the ingredients three times bigger, including the milk.
Three times bigger also can be written as 3 × _
So whatever the recipe says for the milk, put the number in the blank and multiply it by three.
Answer:
2 1/3
Step-by-step explanation:
Find the volume of the sphere. Use 3.14 for Pi. Round your answer to the nearest thousandth. A sphere with diameter 10 inches. a. 4186.667 cu. in. b. 523.333 cu. in. c. 104.667 cu. in. d. 294.375 cu. in. Please select the best answer from the choices
Volume of a Sphere Formula:
[tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]
Diameter/Radius Relationship:
[tex]\displaystyle r = \frac{d}{2}[/tex]
ApplicationStep 1: Define
Let us clearly sort out what information this specific problem gives us:
We are given that the shape is a sphere.We are also given that the diameter of the sphere is equal to 10 inches.Finally, we are asked to find the volume of the sphere.We can consolidate this into mathematical symbols:
[tex]\displaystyle d = 10 \ \text{in}[/tex][tex]\displaystyle V_{\text{Sphere}} = \ ?[/tex]Step 2: WorkGiven what we know, we now need to find the volume of the sphere. With knowledge implied, found under the General Formulas and Concepts section above, we can first solve for the radius [tex]\displaystyle r[/tex]:
[tex]\displaystyle\begin{aligned}r & = \frac{d}{2} \\& = \frac{10 \ \text{in}}{2} \\& = \boxed{5 \ \text{in}} \\\end{aligned}[/tex]
∴ the radius of the sphere is equal to 5 inches.
Now that we have our radius, we can substitute this value into our volume of a sphere formula and evaluate:
[tex]\displaystyle\begin{aligned}V & = \frac{4}{3} \pi r^3 \\& = \frac{4}{3} \pi (5 \ \text{in})^3 \\& = \frac{4}{3} \pi (125 \ \text{in}^3) \\& = \boxed{ \frac{500}{3} \pi \ \text{in}^3 } \\\end{aligned}[/tex]
∴ the volume of the sphere is equal to [tex]\boxed{ \frac{500}{3} \pi \ \text{in}^3 }[/tex].
To estimate our answer, we can simply substitute the value of [tex]\displaystyle \pi[/tex] for 3.14, as defined by the problem, and evaluate once more:
[tex]\displaystyle\begin{aligned}V & = \frac{4}{3} \pi r^3 \\& = \frac{4}{3} \pi (5 \ \text{in})^3 \\& = \frac{4}{3} \pi (125 \ \text{in}^3) \\& = \frac{500}{3} \pi \ \text{in}^3 \\& = \frac{500}{3} (3.14) \ \text{in}^3 \\& \approx \boxed{ 523.333 \ \text{in}^3 }\end{aligned}[/tex]
∴ the volume of the sphere is approximately equal to [tex]\displaystyle \boxed{ 523.333 \ \text{in}^3 }[/tex].
Answer∴ the best answer choice that corresponds to our gathered result is answer choice b. 523.333 cu. in.
___
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___
Topic: Geometry
Unit: Volume
The length, width, and height of Richards Fish tank are 24 inches 16 inches and 18 inches,respectively. Richard is filling his fish tank with water from a hose at the rate of 500 cubic inches per minute. How long will it take to the nearest minute to fill the tank to a depth of 15 inches
Answer: 12 minutes
Step-by-step explanation:
Volume of water in the tank
l x b x h = 24 * 16 * 15 = 5760 cu. in.
Time it will take to fill the tank
= 5760 / 500 = 11.52 = 12 minutes
What is the gradient of the graph shown?
Answer:
-1/2
Because, for every one square, the line goes down by 1/2.
Answer:
- 0.5
Step-by-step explanation:
To find the gradient of a line,
divide the value of decrease by the value across.
So, count across from the extreme left toll the extreme right = 13
Where you completed in the extreme right, you have to count down till you reach the other end of the line = 6.5
Now, you divide: 6.5 divided by 13 = 0.5
Since we counted down, it is negative = -0.5
Please mark brainiest
Convert 1 1/3 to a improper fraction
Answer:
3 2/3
Step-by-step explanation:
Divide 11 by 3 using long division method. then place the quotient as whole number and reminder as numerator and dividend as denominator
The fraction 1 1/3 as an improper fraction is 4/3
How to write an improper fractionFrom the question, we have the following parameters that can be used in our computation:
Fraction = 1 1/3
When converted to an improper fraction, we have
Numerator = 3 * 1 + 1
Evaluate
Numerator = 4
The denominator remains the same
So, we have
Fraction = 4/3
Hence, the fraction is 4/3
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What’s the answer to this question?
Answer:
The answer is
The first one, the second one and the last one.
Hope this helps.
inductive reasoning is when uses lots of data to make a conjecture A. True B. False please answer now I need help with this please answer
Answer:
False
Step-by-step explanation:
Inductive reasoning is a method of reasoning in which the premises are viewed as supplying some evidence for the truth of the conclusion.
2/3 - 4x + 7/2 = -9x + 5/6 apply the properties.. step by step
Answer:
x=5/13
Step-by-step explanation:
2/3+7/2=9x+5/6+4x
2/3+7/2-5/6=9x+4x
lcm of 2,3,6=6
2/3=4/6 7/2=21/6 5/6=5/6
4/6+21/6-5/6=9x+4x
30/6=13x
5=13x
x=5/13
Steps:
Step 1: Simplify both sides of the equation.
2/3−4x+7/2=−9x+5/6
2/3+−4x+7/2=−9x+5/6
(−4x)+( 2/3 + 7/2 )=−9x+ 5/6 (Combine Like Terms)
−4x+25/6=−9x+5/6
−4x+25/6=−9x+5/6
Step 2: Add 9x to both sides.
−4x+25/6+9x=−9x+5/6+9x
5x+25/6=5/6
Step 3: Subtract 25/6 from both sides.
5x+25/6−25/6=5/6−25/6
5x=−10/3
Step 4: Divide both sides by 5.
5x/5=−10/3/5
= x=-2/3
Answer: x=-2/3
Please mark brainliest
Hope this helps.
the length of two parallel sides of a trapezium are 91 cm and 51 cm and the length of two other side 37 CM and 13 cm respectively determine the area of trapezium
Answer:
903 sq. cm.
Step-by-step explanation:
It is given that the length of two parallel sides of a trapezium are 91 cm and 51 cm and the length of two other side 37 CM and 13 cm respectively.
Now draw a dotted line as shown in the below figure. So, we have a triangle with sides 13 cm, 37 cm, 40cm and a parallelogram with sides 51 cm, 13 cm.
Area of parallelogram is
[tex]A_1=base\times height[/tex]
[tex]A_1=51\times 13[/tex]
[tex]A_1=663[/tex]
Using heron's formula, area of triangle is
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
where, [tex]s=\dfrac{a+b+c}{2}[/tex].
The sides of triangle are 13cm, 37 cm, and 40 cm.
[tex]s=\dfrac{13+37+40}{2}=45[/tex]
Area of triangle is
[tex]A=\sqrt{45(45-13)(45-37)(45-40)}=240[/tex]
The area of trapezium is
[tex]A=A_1+A_2=663+240=903[/tex]
Therefore, the area of trapezium is 903 sq. cm.
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = 2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the sine or cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = 4[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
x = 2[tex]\sqrt{2}[/tex]
Much help needed thank you
Answer:
14.29
Step-by-step explanation:
Let p be the price of the cd
we take the price of the cd plus the tax and it must be less than or equal to 15
the tax is the price of the cd times 5 %
p + p*.05 ≤15
Combine like terms
p*1.05 ≤15
Divide each side by 1.05
p ≤15/1.05
p ≤14.28571429
Rounding to the nearest cent
p ≤14.29
The maximum price is 14.29
Simplify the following fraction: 400/4400
Answer: 1/11 is the simplified form...
Hope this helps, stay safe :D
Answer:
1/11
Step-by-step explanation:
divide top and bottom by 100 = 4/44
divide top and bottom by 4 = 1/11
what is circular test track
Answer:
A circular test track for cars has a circumference of 3.5km . A. car travels around the track from the southernmost point to the.
Step-by-step explanation:
I will mark you brainliest!!! What is the first step in adding these equations to eliminate y?
Answer:
multiply bottom equation by 3
Step-by-step explanation:
That way, the -3y can be -9y and 9y and -9y can cancel.
Answer:
D. Multiply the bottom equation by 3
Step-by-step explanation:
A.
If you multiply the bottom equation by 7, then your equation will be:
7x+9y=8
14x-21y=7
Which will not get rid of y.
B.
If you multiply the top equation by 3, then your equation will be:
21x+27y=24
2x-3y=1
Which will not get rid of y.
C.
If you multiply the top equation by 2, then your equation will be:
14x+18y=16
2x-3y=1
Which will not get rid of y.
D.
If you multiply the bottom equation by 3, then your equation will be:
7x+9y=8
6x-9y=3
Which will get rid of y.
Tina throws a baseball straight up from a height of 3 feet and at a speed of 50 feet per second. The height of the ball in feet is given by the polynomial -16t^2+50t+3, where t is the time in seconds. How high is the ball after 3 seconds?
Answer:
9 feet
Step-by-step explanation:
The height of the ball in feet is given by the polynomial:
[tex]h(t) = -16t^2+50t+3[/tex]
where t is the time in seconds.
After 3 seconds, t = 3:
[tex]h(3) = -16(3)^2 + 50(3) + 3 \\\\h = -144 + 150 + 3 = 9 feet[/tex]
The height of the ball after 3 seconds is 9 feet.
we can describe 15x-10 as an expression we would describe 9+5=32 as an...
Answer:
equation
Step-by-step explanation:
Equations have equals signs, expressions do not
15x-10 is an expression
9+5 = 32 is an equation ( it is a wrong equation)
Which set of ordered pairs does not represent a function?
Answer:
it is the last one
Step-by-step explanation:
Since a function is based on a set of ordered pairs, where the first element in each pair is from the domain and the second is from the codomain. Also A function is a mapping from a set of inputs (the domain) to a set of possible outputs (the codomain).
The last one doesn't show the correct inputs and outputs
X = 4/5 (x+10)
Find x
Answer:
[tex]x=40[/tex]
Step-by-step explanation:
[tex]x=\frac{4}{5}\left(x+10\right)\\\mathrm{Expand\:}\frac{4}{5}\left(x+10\right):\quad \frac{4}{5}x+8\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=\frac{4}{5},\:b=x,\:c=10\\=\frac{4}{5}x+\frac{4}{5}\cdot \:10\\=\frac{4}{5}x+10\cdot \frac{4}{5}\\10\cdot \frac{4}{5}=8\\10\cdot \frac{4}{5}\\\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\=\frac{4\cdot \:10}{5}\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:10=40\\=\frac{40}{5}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{40}{5}=8\\=\frac{4}{5}x+8\\x=\frac{4}{5}x+8\\\mathrm{Subtract\:}\frac{4}{5}x\mathrm{\:from\:both\:sides}\\x-\frac{4}{5}x=\frac{4}{5}x+8-\frac{4}{5}x\\Simplify\\x-\frac{4}{5}x=\frac{4}{5}x+8-\frac{4}{5}x\\\mathrm{Simplify\:}x-\frac{4}{5}x:\quad \frac{1}{5}x\\x-\frac{4}{5}x\\\mathrm{Factor\:out\:common\:term\:}x\\=x\left(1-\frac{4}{5}\right)\\1-\frac{4}{5}=\frac{1}{5}\\=\frac{1}{5}x\\1-\frac{4}{5}[/tex]
[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:1=\frac{1\cdot \:5}{5}\\=\frac{1\cdot \:5}{5}-\frac{4}{5}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{1\cdot \:5-4}{5}\\1\cdot \:5-4=1\\1\cdot \:5-4\\\mathrm{Multiply\:the\:numbers:}\:1\cdot \:5=5\\=5-4\\\mathrm{Subtract\:the\:numbers:}\:5-4=1\\=1\\=\frac{1}{5}\\=\frac{1}{5}x\\\mathrm{Simplify\:}\frac{4}{5}x+8-\frac{4}{5}x:\quad 8\\\frac{4}{5}x+8-\frac{4}{5}x[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:\frac{4}{5}x-\frac{4}{5}x=0\\=8\\\frac{1}{5}x=8\\\mathrm{Multiply\:both\:sides\:by\:}5\\5\cdot \frac{1}{5}x=8\cdot \:5\\\mathrm{Simplify}\\x=40[/tex]
Answer:
40
Step-by-step explanation:
x+10= x 5/4
x +10= 5x/4
4x+40= 5x
40= x
x=40
PLEASE ANSWER FAST A die is rolled 200 times with the following results. Outcome 1 2 3 4 5 6 Frequency 32 36 44 20 30 38 What is the theoretical probability of the given event? P(even) a. One-third c. 1 b. One-half d. StartFraction 3 Over 7 EndFraction Please select the best answer from the choices provided A B C D
Answer:
a is my end result. hope that was right
The theoretical probability of rolling an even number is one-half.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
To find the theoretical probability of rolling an even number, we need to determine how many of the 6 possible outcomes are even.
In this case, we have 3 even outcomes: 2, 4, and 6.
Therefore, the probability of rolling an even number on a fair die is:
P(even) = number of even outcomes / total number of outcomes
P(even) = 3 / 6
P(even) = 1/2
Thus,
The theoretical probability of rolling an even number is one-half.
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7 identically sized pieces of timber are x cm long when put together. How long is each individual piece?
Answer:
x/7
Step-by-step explanation:
7*y=x
:7 :7
y=x/7
Does this equation y=87.2/x represent a direct or inverse variation?
Answer:
Inverse relationship
Step-by-step explanation:
The equation we are looking at is;
y = 87.2/x
which implies xy = 87.2
If it was a direct relationship
y = constant * x
if it was inverse, it would have been
y * x = constant
since 87.2 is a constant, the question looks exactly like the second scenario.
This means that what we have is an inverse relationship
If p(y) = y^3+3 y^2-5y-6, then p (-3) = ------------------
Answer:
9
Step-by-step explanation:
[tex]p(y)=y^3+3y^2-5y-6 \\\\p(-3)=(-3)^3+3(-3)^2-5(-3)-6= \\\\-27+27+15-6= \\\\9[/tex]
Hope this helps!
Answer:
p(-3)=9
Step-by-step explanation:
This question ask us to find p(-3), or what p(y) is when y is equal to -3.
We know that:
p(y)= y^3+3 y^2-5y-6
We want to find p(-3), so substitute -3 in for every y.
p(-3)= (-3^3)+3(-3^2)-5(-3)-6
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Solve the exponents first (-3^3 and -3^2)
-3^3=-3*-3*-3= -27
-3^2= -3* -3= 9
p(-3)= -27+ 3(9) -5(-3) -6
Next, multiply 3 and 9
p(-3)= -27+27-5(-3)-6
Then, multiply -5 and -3
p(-3)= -27+27+15-6
-27 and 27 equal 0, so they cancel each other out.
p(-3)=15-6
p(-3)= 9
Anyone know this ? Need help :(
Answer:
19
Step-by-step explanation:
We can multiply the exponents, giving us 19 ^ (1/9 * 9) = 19 ^ 1 = 19.
Answer:
19
Step-by-step explanation:
(19^1/9)^9
19^(1/9*9)
19^1
19
Going from point A to point B, the cheetah traveled at an average rate of 70 mph. Returning to point A, the cheetah traveled at an average rate of 40 mph. Can we say that this cheetah’s average rate was 55 mph? The average rate for the trip is equal to the total distance traveled divided by the total time traveled. The following equations represent the distance traveled on each leg of the trip. First leg of trip: d=r_1 t_1 Second leg of trip: d=r_2 t_2 Write an equation for the average rate for the trip. Remember, the cheetah runs from point A to point B and back to point A.
Answer:
No.
[tex]\text{Average rate} = \dfrac{\text{Total distance}}{\text{Total time}} = \dfrac{r_{1}t_{1} + r_{2}t_{2}}{t_{1} + t_{2}}\\\\= \text{50.91 mi/h}[/tex]
Step-by-step explanation:
First leg: d = r₁t₁
Second leg: d = r₂t₂
r₁t₁ = r₂t₂
Total distance: 2d = r₁t₁ + r₂t₂
Total time: t = t₁ + t₂
1. Equation for average rate
[tex]\text{Average rate} = \dfrac{\text{Total distance}}{\text{Total time}} = \dfrac{r_{1}t_{1} + r_{2}t_{2}}{t_{1} + t_{2}}[/tex]
2. Average rate
Since r₁t₁ = r₂t₂,
[tex]t_{1} = \dfrac{r_{2}t_{2}}{r_{1}} = \frac{40}{70}t_{2} = \frac{4}{7}t_{2}\\\\\text{Average rate} = \dfrac{2r_{2}t_{2}}{\frac{4}{7}t_{2} + t_{2}} = \dfrac{2 \times 40t_{2}}{\frac{4t_{2}+ 7t_{2}}{7}}= 80t_{2} \times\frac{7}{11t_{2}} = \dfrac{560}{11}\\\\= \textbf{50.91 mi/h}[/tex]
We cannot say truthfully that the average rate is 55 mi/h.
The average rate of a body is the total distance travelled divided by the total time.
The cheetah runs at an average rate of 50.91mph, not 55mph
Let
[tex]d \to[/tex] distance
[tex]r \to[/tex] average rate
[tex]t \to[/tex] time
Given that:
[tex]d = r_1t_1 = r_2t_2[/tex]
So, we have:
[tex]r_1 = 70[/tex]
[tex]r_2 = 40[/tex]
The average rate (r) is calculated as follows:
[tex]r = \frac{Total\ Distance (D)}{Total\ Time (T)}[/tex]
Where:
[tex]D=d + d[/tex]
[tex]D = r_1t_1 + r_2t_2[/tex]
and
[tex]T =t_1 + t_2[/tex]
So, the average rate is:
[tex]r =\frac{r_1t_1 + r_2t_2}{t_1 + t_2}[/tex]
Recall that:
[tex]D = r_1t_1 + r_2t_2[/tex]
[tex]r_1t_1 = r_2t_2[/tex]
Make [tex]t_2[/tex] the subject
[tex]t_2 = \frac{r_1t_1}{r_2}[/tex]
Substitute values for [tex]r_1[/tex] and [tex]r_2[/tex]
[tex]t_2 = \frac{70t_1}{40}[/tex]
So, we have:
[tex]r =\frac{r_1t_1 + r_2t_2}{t_1 + t_2}[/tex]
[tex]r = \frac{70t_1 + 40 \times \frac{70t_1}{40}}{t_1 + \frac{70t_1}{40}}[/tex]
[tex]r = \frac{70t_1 + 70t_1}{t_1 + \frac{70t_1}{40}}[/tex]
[tex]r = \frac{140t_1}{t_1 + \frac{70t_1}{40}}[/tex]
Factor out t1
[tex]r= \frac{140t_1}{t_1(1 + \frac{70}{40})}[/tex]
[tex]r = \frac{140}{(1 + \frac{70}{40})}[/tex]
[tex]r = \frac{140}{\frac{40+70}{40}}[/tex]
[tex]r= \frac{140}{\frac{110}{40}}[/tex]
Rewrite as:
[tex]r = \frac{140 \times 40}{110}[/tex]
[tex]r = 50.91mph[/tex]
Hence, the cheetah's average rate is 50.91mph, not 55mph
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which of the following represents this function written in intercept form? y=-x^2-x+6
Answer:
Step-by-step explanation:
-(x-2)(x+3)
Use synthetic division to solve [tex]\frac{3x^{4} +6x^{3} +2x^{2} + 9x + 10 }{x+2}[/tex]. What is the quotient?
If m vU = 70 and m st = 30 then m 2 = 20 50 35
Answer:
C.
Step-by-step explanation:
mVU = 70
According to a Theorem, mVU = 2(m<2)
So,
m<2 = mVU /2
m<2 = 70/2
m<2 = 35
Need help plotting this on a number line
Answer:
Fill in the long -5/2 on the number line and draw a ray extending to the left
Step-by-step explanation:
Which among the following is the largest rational number? -2/4 -2/3 -1/3 -4/5
Answer:
-1/3
Step-by-step explanation:
All of the other numbers are less than -1/3
Answer:
-1/3 is the largest rational number
Step-by-step explanation:
[tex]\frac{-2}{4}=\frac{-1}{2}=\frac{-1*15}{2*15}=\frac{-15}{30}\\\\\\\\frac{-2}{3}=\frac{-2*10}{3*10}=\frac{-20}{30}\\\\\\\frac{-1}{3}=\frac{-1*10}{3*10}=\frac{-10}{30}\\\\\\\frac{-4}{5}=\frac{-4*6}{5*6}=\frac{-24}{30}\\\\\\\frac{-24}{30}<\frac{-20}{30}<\frac{-15}{30}<\frac{-10}{30}\\\\\\\frac{-4}{5}<\frac{-2}{3}<\frac{-2}{4}<\frac{-1}{3}[/tex]
-1/3 is the largest rational number
PLZ PLZ PLZ PLZ HELP HELP HELP HELPFind the area of the shape.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and enter your answer as a decimal.
Answer:
3.14
Step-by-step explanation:
The formula for the area of a circle is [tex]\pi r^2[/tex], where r is the radius. In this circle, the area would therefore be [tex]3.14\cdot 2^2=12.56[/tex]. However, since this is only a quarter circle, you need to divide the area by 4, meaning that the area of this shape is 3.14 square units. Hope this helps!
Answer:
π
Step-by-step explanation:
calculate the the full circle: A = π*[tex]r^{2}[/tex] = π*[tex]2^{2}[/tex] = π*4 (the area of the full circle)
you've got 1/4 or the circle according to the picture, so divide the area of the full circle with 4:
(π*4)/4 = π
